Abstract
We show that under some natural ergodicity assumptions, extensions given by Rokhlin cocycles lift the multiplier property if the associated locally compact group extension has only countably many L∞-eigenvalues. We make use of some analogs of basic results from the theory of finite-rank modules associated to an extension of measure-preserving systems in the setting of a non-singular base.
Original language | English (US) |
---|---|
Pages (from-to) | 115-131 |
Number of pages | 17 |
Journal | Journal of Fixed Point Theory and Applications |
Volume | 6 |
Issue number | 1 |
DOIs | |
State | Published - Oct 2009 |
Keywords
- Disjointness
- Ergodicity
- Joining
- Non-singular automorphism
- Relatively finite measure-preserving extension
- Rokhlin cocycle
ASJC Scopus subject areas
- Modeling and Simulation
- Geometry and Topology
- Applied Mathematics